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Finding the Third Proportional to 140,637,996 and 302,876,753.25

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Solution

The third proportional to 140,637,996 and 302,876,753.25 is: 652,272,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,637,996 : 302,876,753.25 = 302,876,753.25 : x
  2. Step 2: Convert to fraction form
    140,637,996/302,876,753.25 = 302,876,753.25/x
  3. Step 3: Cross multiply
    140,637,996x = 302,876,753.25 × 302,876,753.25
  4. Step 4: Simplify right side
    140,637,996x = 91,734,327,659,261,392
  5. Step 5: Solve for x
    x = 91,734,327,659,261,392/140,637,996
  6. Step 6: Final answer
    x = 652,272,716.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.